An Introduction to Number Theory

These notes are intended for a graduate course in Number Theory. No prior familiarity with number theory is assumed. Chapters 1-6 represent approximately 1 trimester of the course. Eventually we intend to publish a full year (3 trimesters) course on number theory.

Combinatorics and Discrete Mathematics Mathematics

Tác giả: J. J. P. Veerman
Nhà xuất bản: Portland State University
Nguồn: LibreTexts
Giấy phép: CC BY-NC
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

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Mục lục· 41 mục

01: A Quick Tour of Number Theory
1.01: Divisors and Congruences
1.02: Rational and Irrational Numbers
1.03: Algebraic and Transcendental Numbers
1.04: Countable and Uncountable Sets
1.05: Exercises
02: The Fundamental Theorem of Arithmetic
2.01: Bezout's Lemma
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03: Linear Diophantine Equations
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3.6 Exercises
04: Number Theoretic Functions
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05: Modular Arithmetic and Primes
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06: Continued Fractions
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